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The mean of 10 numbers is 12.5 the mean of first six numbers is 15 and the mean of last five numbers is 10. Find the sixth number?
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The mean of 10 numbers is 12.5 the mean of first six numbers is 15 and...
Problem: The mean of 10 numbers is 12.5. The mean of the first six numbers is 15 and the mean of the last five numbers is 10. Find the sixth number.
Solution:
Let's assume that the 10 numbers are represented by a1, a2, a3, ..., a10.
We know that:
- The mean of 10 numbers is 12.5. This means that:
(a1 + a2 + a3 + ... + a10) / 10 = 12.5
a1 + a2 + a3 + ... + a10 = 125
- The mean of the first six numbers is 15. This means that:
(a1 + a2 + a3 + a4 + a5 + a6) / 6 = 15
a1 + a2 + a3 + a4 + a5 + a6 = 90
- The mean of the last five numbers is 10. This means that:
(a6 + a7 + a8 + a9 + a10) / 5 = 10
a6 + a7 + a8 + a9 + a10 = 50
We need to find the value of a6. We can do this by substituting the values we know into the equation:
a1 + a2 + a3 + a4 + a5 + a6 = 90
We know that:
a1 + a2 + a3 + ... + a10 = 125
Subtracting the two equations, we get:
a7 + a8 + a9 + a10 = 35
We also know that:
a6 + a7 + a8 + a9 + a10 = 50
Subtracting the two equations
Solution:
Let's assume that the 10 numbers are represented by a1, a2, a3, ..., a10.
We know that:
- The mean of 10 numbers is 12.5. This means that:
(a1 + a2 + a3 + ... + a10) / 10 = 12.5
a1 + a2 + a3 + ... + a10 = 125
- The mean of the first six numbers is 15. This means that:
(a1 + a2 + a3 + a4 + a5 + a6) / 6 = 15
a1 + a2 + a3 + a4 + a5 + a6 = 90
- The mean of the last five numbers is 10. This means that:
(a6 + a7 + a8 + a9 + a10) / 5 = 10
a6 + a7 + a8 + a9 + a10 = 50
We need to find the value of a6. We can do this by substituting the values we know into the equation:
a1 + a2 + a3 + a4 + a5 + a6 = 90
We know that:
a1 + a2 + a3 + ... + a10 = 125
Subtracting the two equations, we get:
a7 + a8 + a9 + a10 = 35
We also know that:
a6 + a7 + a8 + a9 + a10 = 50
Subtracting the two equations
Community Answer
The mean of 10 numbers is 12.5 the mean of first six numbers is 15 and...
6th number is ( -15)
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The mean of 10 numbers is 12.5 the mean of first six numbers is 15 and the mean of last five numbers is 10. Find the sixth number?
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The mean of 10 numbers is 12.5 the mean of first six numbers is 15 and the mean of last five numbers is 10. Find the sixth number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The mean of 10 numbers is 12.5 the mean of first six numbers is 15 and the mean of last five numbers is 10. Find the sixth number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of 10 numbers is 12.5 the mean of first six numbers is 15 and the mean of last five numbers is 10. Find the sixth number?.
The mean of 10 numbers is 12.5 the mean of first six numbers is 15 and the mean of last five numbers is 10. Find the sixth number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The mean of 10 numbers is 12.5 the mean of first six numbers is 15 and the mean of last five numbers is 10. Find the sixth number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of 10 numbers is 12.5 the mean of first six numbers is 15 and the mean of last five numbers is 10. Find the sixth number?.
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